Mathematical modeling and dissipative structure for systems of magnetohydrodynamics with Hall effect

被引：1

作者：

Kawashima, Shuichi ^{[1
]}

Nakasato, Ryosuke ^{[1
]}

Ogawa, Takayoshi ^{[2
]}

机构：

[1] Waseda Univ, Fac Sci & Engn, Tokyo 1698555, Japan

[2] Tohoku Univ, Math Inst, Sendai, Miyagi 9808578, Japan

来源：

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES | 2022年 / 32卷 / 09期

关键词：

Magnetohydrodynamic systems; Hall effect; hyperbolic-parabolic systems; convex entropy; dissipative structure; decay property; GLOBAL WELL-POSEDNESS; TIME-DECAY; EQUATIONS; EXISTENCE; ENTROPY;

D O I：

10.1142/S0218202522500427

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the mathematical modeling of electro-magneto-hydrodynamics and magnetohydrodynamics by taking account of the Hall effect. We discuss conservation laws, strict convexity of the negative entropy as a function of conserved quantities, and the associated energy form. Moreover, we investigate the dissipative structure and decay properties of the linearized systems as applications of the general theory developed in Umeda et al. [On the decay of solutions to the linearized equations of electro-magneto-fluid dynamics, Japan J. Appl. Math. 1 (1984) 435-457] and Shizuta and Kawashima [Systems of equations of hyperbolic-parabolic type with applications to the discrete Boltzmann equation, Hokkaido Math. J. 14 (1985) 249-275].

引用

页码：1807 / 1878

页数：72

共 45 条

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